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Simplifying
6 + 0.10x = 0.15x + 8

Reorder the terms:
6 + 0.10x = 8 + 0.15x

Solving
6 + 0.10x = 8 + 0.15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.15x' to each side of the equation.
6 + 0.10x + -0.15x = 8 + 0.15x + -0.15x

Combine like terms: 0.10x + -0.15x = -0.05x
6 + -0.05x = 8 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
6 + -0.05x = 8 + 0.00
6 + -0.05x = 8

Add '-6' to each side of the equation.
6 + -6 + -0.05x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -0.05x = 8 + -6
-0.05x = 8 + -6

Combine like terms: 8 + -6 = 2
-0.05x = 2

Divide each side by '-0.05'.
x = -40

Simplifying
x = -40

Here’s the answer :)

The required value x in the algebric expression 6 + 0.10x = 0.15x + 8 is -40.

Given that,
An expression is given, and the value of the x in the expression is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

6 + 0.10x = 0.15x + 8
0.10x - 0.15x = 8 - 6
- 0.05x = 2
x = -200/5
x = - 40

Thus, the required value x in the algebric expression 6 + 0.10x = 0.15x + 8 is -40.

Learn more about function here:

brainly.com/question/21145944

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